Entropy functions for accelerating black holes

TL;DR

This paper develops an entropy function for supersymmetric accelerating black holes in AdS4, enabling entropy computation without explicit solutions, and predicts dual holographic microstate counting via partition functions of Chern-Simons-matter theories.

Contribution

Introduces a novel entropy function for accelerating black holes in AdS4 that uplift to M-theory, facilitating entropy calculations without explicit solutions.

Findings

Entropy function for supersymmetric accelerating black holes in AdS4

Prediction of holographic microstate counting through partition functions

Framework for computing black hole entropy without explicit solutions

Abstract

We introduce an entropy function for supersymmetric accelerating black holes in $AdS_4$, that uplift on general Sasaki-Einstein manifolds $X_7$ to solutions of M-theory. This allows one to compute the black hole entropy without knowing the explicit solutions. A dual holographic microstate counting would follow from computing certain supersymmetric partition functions of Chern-Simons-matter theories compactified on a spindle. We make a general prediction for a class of such partition functions in terms of ``blocks'', with each block being constructed from the partition function on a three-sphere.